SAN FRANCISCO – The fact his team’s offense ranks near the bottom in the National League in nearly all meaningful statistical categories is not much cause for concern to Dodgers manager Don Mattingly.

“At this point, no, ” Mattingly said before Monday’s series opener against the San Francisco Giants. “I feel like we’re going to swing the bats.”

Perhaps Mattingly had some kind of premonition, or maybe he figured he really didn’t need much offense with Clayton Kershaw pitching.

Either way, it all worked for the Dodgers in a 6-1 victory over the Giants in front of a sellout crowd of 40,870 at AT&T Park.

The sputtering Dodgers’ offense broke through for 11 hits in support of Kershaw (2-1) easily outdueled Madison Bumgarner (0-2) in a matchup that featured two of the game’s best young left-handed pitchers.

Going into Monday, Bumgarner and Kershaw’s 3.05 and 3.14 ERAs ranked No. 1 and No. 2 among all active pitchers younger than 24.

Kershaw struck out seven batters and six hits and two walks in 6<MD+,%30,%55,%70>2/<MD-,%0,%55,%70>3 innings of shutout ball as he continued his dominance of the Giants. Going into Monday, he was 2-1 with a 1.23 ERA in seven outings against the Giants, and 1-1 with a 1.06 ERA in San Francisco.

Bumgarner allowed five runs (all earned) on eight hits and five walks in five innings .

The Dodgers’ .244 team batting average was the league’s sixth-worst going into Monday, and everybody but their two leading hitters, Matt Kemp and Andre Ethier, were hitting a combined .202.

“Take anybody’s best two players’ numbers out of there and see what they look like, but we’re definitely going to have to score runs,” Mattingly said.

Ethier, who had two hits and two RBIs Monday to extend his hitting streak to eight games, was hitting .353, and Kemp, who was 1 for 2 with two walks, was hitting .438 going into Monday.

But the Dodgers got contributions from everybody else too.

The Dodgers broke open a 1-0 game when Rod Barajas homered to lead off a decisive four-run fifth, highlighted by Kemp’s bases-clearing single to left that went by outfielder Pat Burrell for an RBI and a two-run error.

Kemp got the Dodgers going in the second, when he led with a single, stole second, and scored on a James Loney single that skipped off the glove of second baseman Freddy Sanchez (Burbank High).

The Dodgers padded their lead in the seventh, when pinch-hitter Aaron Miles led with a single and scored on Ethier’s single.

Dodgers second baseman Jamey Carroll was 3 for 5.

The Giants scored their only run in the ninth when Burrell homered off the left-field foul pole off Mike MacDougal.

The Giants’ best scoring chance off Kershaw came in the fifth when they had runners at first and second and one out, but Kershaw got Aaron Rowand to hit into a fielder’s choice, and then struck out Brandon Belt.